Cook pasta according to package directions. Add the broccoli to pasta water during last 4 minutes of cooking and drain.
In a bowl, mix the dressing, half-and-half, cream cheese and Parmesan until smooth.
In a large nonstick skillet over medium-high heat, heat the oil until shimmering. Add the chicken and cook for 5 to 7 minutes or until browned and juices run clear.
Add the pasta and sauce mixture and toss until well coated.
Stir until heated through.
Serve immediately, seasoned with the pepper.